How does the placement of a digit determine its value in a number?

For example:

What is the value of 4 in 34,766?

In this lesson, you will learn about place value with larger

numbers by using a place value chart and arrow cards.

Let’s ReviewLet’s Review

Our numerical system is made of 10 digits.

0, 1, 2, 3, 4, 5, 6, 7, 8, and 9

The value of each digit depends on its place in a number.

Let’s ReviewLet’s Review

Base Ten Blocks

OnesTensHundredsThousands

Let’s ReviewLet’s Review

Millions Thousands Ones

Hundred Millions

Ten Millions

Millions

Hundred Thousands

Ten Thousands

Thousands

Hundreds Tens Ones

8, 3 2 5, 4 7 1

Let’s ReviewA Common Mistake

Thinking that the number 2 in 32,586 has a place value of 2.

The 2 in 32,586 has a place value of 2,000.

Let’s ReviewCore Lesson

4 0 0 05 0 03 02

5 0 04 0 0 0 3 0 2th

ousa

nds

hund

reds

tens

ones

Let’s ReviewCore Lesson

2 0 0 0 0 08 0 0 0 07 0 0 01 0 09 06

7 0 0 09 0

thou

sand

shu

ndre

dste

nson

es

10 th

ousa

nds

100

thou

sand

s2 0 0 0 0 0

Let’s ReviewCore Lesson

5 0 1, 5 2 4

5 0 0 0 0 0 5 0 0

In this lesson, you have learned about place value with

larger numbers by using a place value chart and arrow

cards.

Let’s ReviewGuided Practice

What is the value of 2 in 923,745?

Let’s ReviewGuided Practice

How is the digit 3 in 538, 409 different than the 3 in 583, 409?

Let’s ReviewExtension Activities

Use arrow cards to create the numbers below.

215,468 and 521, 648

Write in your math journal how these numbers are different even though they have the same digits.

Let’s ReviewExtension Activities

How many different numbers can you create with these digits: 4, 6, 2, 5, and 3?

Let’s ReviewExtension Activities

Go on a big number hunt.

Look in the newspaper, online, or in textbooksto find numbers over 100,000.

In your math journal, list several of the numbers that you found. Write a sentencetelling what each number represents.

Let’s ReviewQuick Quiz

What is the value of the underlined digit in 285,439?

What is the value of the underlined digit in 700,481?